(a)
To find out what are the hypotheses.
(a)
Answer to Problem 16E
Explanation of Solution
It is given in the question that a major credit card company is planning a new offer for their current cardholders. So, a staff member suspect that the success rate for the full campaign will be comparable to the standard
(b)
To explain are the assumptions and conditions for inference met.
(b)
Answer to Problem 16E
Yes, all the assumptions and conditions for inference met.
Explanation of Solution
It is given in the question that a major credit card company is planning a new offer for their current cardholders. So, a staff member suspect that the success rate for the full campaign will be comparable to the standard
Now, let us check the conditions and assumptions necessary for inference as:
Random condition: It is satisfied as the sample was randomly selected from the population.
Independent condition: It is satisfied as we can assume that the sample is independent.
Success/failure condition: It is satisfied because both are greater than ten as,
Thus, all the conditions are satisfied.
(c)
To explain do you think the rate would change if they use this fundraising campaign.
(c)
Answer to Problem 16E
Yes, the rates will change because the hypothesis test provides significant statistical evidence that rates will be not be
Explanation of Solution
It is given in the question that a major credit card company is planning a new offer for their current cardholders. So, a staff member suspect that the success rate for the full campaign will be comparable to the standard
Thus, for this first we have to select
So, by putting the values above by using the calculator we will get the result as,
The value of z-statistics and the P-value will be then,
And as we know if the P-value is smaller than the significance level, then reject the null hypothesis, so, we have,
Thus, we conclude that there is sufficient evidence that the rates will change because the hypothesis test provides significant statistical evidence that rates will be not be
Chapter 20 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Elementary Statistics (13th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Fundamentals of Statistics (5th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
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